{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#  Gaussian Mixture Models"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Load packages & helper functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false,
    "inputHidden": false,
    "outputHidden": false
   },
   "outputs": [],
   "source": [
    "# `Distributions.jl` is for distribution supports and `Turing.jl` is our PPL.\n",
    "using Distributions, Turing\n",
    "\n",
    "TPATH = Pkg.dir(\"Turing\")\n",
    "\n",
    "# `gmm.helper.jl` contains functions to build histogram plots\n",
    "include(TPATH*\"/example-models/nips-2017/gmm.helper.jl\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Function below takes $x$ from Gibbs and NUTS chains and make a histogram plot with exact density."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Defing the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false,
    "inputHidden": false,
    "outputHidden": true
   },
   "outputs": [],
   "source": [
    "@model GMM(p, μ, σ) = begin\n",
    "  z ~ Categorical(p)\n",
    "  x ~ Normal(μ[z], σ[z])\n",
    "end\n",
    "\n",
    "@model cGMM(p, μ, σ) = begin\n",
    "  x ~ UnivariateGMM2(μ, σ, Categorical(p));\n",
    "end\n",
    "\n",
    "M = 5\n",
    "p = [ 0.2,  0.2,   0.2, 0.2,  0.2]\n",
    "\n",
    "s = [-0.5, -1.5, -0.75,  -2, -0.5]; σ = exp(s);\n",
    "\n",
    "μ1 = [   0,    1,     2, 3.5, 4.25] + 2.5 * collect(0:4);\n",
    "μ2 = [   0,    1,     2, 3.5, 4.25] + 0.5 * collect(0:4);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "p1 = plot([make_norm_pdf(p, μ1, σ)], -20, 20, Theme(default_color=colors[1]), \n",
    "Guide.xlabel(nothing), Guide.ylabel(\"Density\"), Guide.title(\"MoG with Seprated Mixtures\"));\n",
    "p2 = plot([make_norm_pdf(p, μ2, σ)], -20, 20, Theme(default_color=colors[2]),\n",
    "Guide.xlabel(nothing), Guide.ylabel(\"Density\"), Guide.title(\"MoG with Nearby Mixtures\"));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "Compose.Image{Compose.PNGBackend}(IOBuffer(data=UInt8[...], readable=true, writable=true, seekable=true, append=false, size=62336, maxsize=Inf, ptr=62337, mark=-1),Cairo.CairoSurface{UInt32}(Ptr{Void} @0x0000000000000000,567.0,378.0,#undef),Cairo.CairoContext(Ptr{Void} @0x0000000000000000,Cairo.CairoSurface{UInt32}(Ptr{Void} @0x0000000000000000,567.0,378.0,#undef),Ptr{Void} @0x00007f8dea47a240),566.9291338582677,377.9527559055118,RGBA{Float64}(0.0,0.0,0.0,0.0),RGBA{Float64}(0.0,0.0,0.0,1.0),Float64[],Compose.LineCapButt(),Compose.LineJoinMiter(),true,0.3mm,3.880555555555555mm,\"Helvetica Neue,Helvetica,Arial,sans\",Nullable{Compose.ClipPrimitive{P<:Tuple{Vararg{Measures.Measure,N}}}}(),Compose.ImagePropertyState[],Compose.ImagePropertyFrame[],Dict{Type,Nullable{Compose.Property}}(),true,false,nothing,true,true,3.7795275590551185,Nullable{Tuple{Measures.Length{:mm,Float64},Measures.Length{:mm,Float64}}}(),Nullable{Tuple{Measures.Length{:mm,Float64},Measures.Length{:mm,Float64}}}())"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(PNG(15cm, 10cm), vstack(p1, p2));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. MCMC sampling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setting up the MCMC engines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false,
    "inputHidden": false,
    "outputHidden": false
   },
   "outputs": [],
   "source": [
    "N = 10000; K = 500;\n",
    "gibbs = Gibbs(round(Int,N/K), PG(10, 1, :z), HMC(K-1, 0.2, 4, :x); thin=false)\n",
    "nuts  = NUTS(N, 0.65);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sampling from MoG with seprated mixtures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false,
    "inputHidden": false,
    "outputHidden": false
   },
   "outputs": [],
   "source": [
    "println(\"Running Gibbs\")\n",
    "chain_gibbs1 = sample(GMM(p, μ1, σ), gibbs)\n",
    "x_gibbs1 = map(x_arr -> x_arr[1], chain_gibbs1[:x]);\n",
    "\n",
    "println(\"Running NUTS\")\n",
    "chain_nuts1 = sample(cGMM(p, μ1, σ), nuts)\n",
    "x_nuts1 = map(x_arr -> x_arr[1], chain_nuts1[:x]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "inputHidden": false,
    "outputHidden": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Compose.Image{Compose.PNGBackend}(IOBuffer(data=UInt8[...], readable=true, writable=true, seekable=true, append=false, size=46271, maxsize=Inf, ptr=46272, mark=-1),Cairo.CairoSurface{UInt32}(Ptr{Void} @0x0000000000000000,567.0,378.0,#undef),Cairo.CairoContext(Ptr{Void} @0x0000000000000000,Cairo.CairoSurface{UInt32}(Ptr{Void} @0x0000000000000000,567.0,378.0,#undef),Ptr{Void} @0x00007f8dea47a2f0),566.9291338582677,377.9527559055118,RGBA{Float64}(0.0,0.0,0.0,0.0),RGBA{Float64}(0.0,0.0,0.0,1.0),Float64[],Compose.LineCapButt(),Compose.LineJoinMiter(),true,0.3mm,3.880555555555555mm,\"Helvetica Neue,Helvetica,Arial,sans\",Nullable{Compose.ClipPrimitive{P<:Tuple{Vararg{Measures.Measure,N}}}}(),Compose.ImagePropertyState[],Compose.ImagePropertyFrame[],Dict{Type,Nullable{Compose.Property}}(Pair{Type,Nullable{Compose.Property}}(Compose.Property{Compose.FillPrimitive},#NULL)),true,false,nothing,true,true,3.7795275590551185,Nullable{Tuple{Measures.Length{:mm,Float64},Measures.Length{:mm,Float64}}}(),Nullable{Tuple{Measures.Length{:mm,Float64},Measures.Length{:mm,Float64}}}())"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize(x_gibbs1, x_nuts1, μ1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sampling from MoG with nearby mixtures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false,
    "inputHidden": false,
    "outputHidden": false
   },
   "outputs": [],
   "source": [
    "println(\"Running Gibbs\")\n",
    "chain_gibbs2 = sample(GMM(p, μ2, σ), gibbs)\n",
    "x_gibbs2 = map(x_arr -> x_arr[1], chain_gibbs2[:x]);\n",
    "\n",
    "println(\"Running NUTS\")\n",
    "chain_nuts2 = sample(cGMM(p, μ2, σ), nuts)\n",
    "x_nuts2 = map(x_arr -> x_arr[1], chain_nuts2[:x]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "inputHidden": false,
    "outputHidden": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Compose.Image{Compose.PNGBackend}(IOBuffer(data=UInt8[...], readable=true, writable=true, seekable=true, append=false, size=52943, maxsize=Inf, ptr=52944, mark=-1),Cairo.CairoSurface{UInt32}(Ptr{Void} @0x0000000000000000,567.0,378.0,#undef),Cairo.CairoContext(Ptr{Void} @0x0000000000000000,Cairo.CairoSurface{UInt32}(Ptr{Void} @0x0000000000000000,567.0,378.0,#undef),Ptr{Void} @0x00007f8dea47a3a0),566.9291338582677,377.9527559055118,RGBA{Float64}(0.0,0.0,0.0,0.0),RGBA{Float64}(0.0,0.0,0.0,1.0),Float64[],Compose.LineCapButt(),Compose.LineJoinMiter(),true,0.3mm,3.880555555555555mm,\"Helvetica Neue,Helvetica,Arial,sans\",Nullable{Compose.ClipPrimitive{P<:Tuple{Vararg{Measures.Measure,N}}}}(),Compose.ImagePropertyState[],Compose.ImagePropertyFrame[],Dict{Type,Nullable{Compose.Property}}(Pair{Type,Nullable{Compose.Property}}(Compose.Property{Compose.FillPrimitive},#NULL)),true,false,nothing,true,true,3.7795275590551185,Nullable{Tuple{Measures.Length{:mm,Float64},Measures.Length{:mm,Float64}}}(),Nullable{Tuple{Measures.Length{:mm,Float64},Measures.Length{:mm,Float64}}}())"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize(x_gibbs2, x_nuts2, μ2, -2, 7);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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  "anaconda-cloud": {},
  "kernel_info": {
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  "kernelspec": {
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   "language": "julia",
   "name": "julia-0.5"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.5.2"
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